Question

The average price of a college math textbook is $157 and the standard deviation is $30. Suppose that 17 textbooks are randomly chosen. Round all answers to 4 decimal places where possible.

- What is the distribution of ¯xx¯? ¯xx¯ ~ N(______,_______)
- For the group of 17, find the probability that the average price is between $161 and $172. _______
- Find the first quartile for the average textbook price for this sample size. $________ (round to the nearest cent)
- For part b), is the assumption that the distribution is normal necessary? __Yes ___No

Answer #1

The average price of a college math textbook is $166 and the
standard deviation is $26. Suppose that 17 textbooks are randomly
chosen. Round all answers to 4 decimal places where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 17, find the probability that the average
price is between $164 and $167.
Find the first quartile for the average textbook price for this
sample size. $ (round to the nearest cent)
For part b),...

The average price of a college math textbook is $166 and the
standard deviation is $24. Suppose that 7 textbooks are randomly
chosen. Round all answers to 4 decimal places where possible.
For the group of 7, find the probability that the average price
is between $171 and $184.
Find the first quartile for the average textbook price for this
sample size. $ (round to the nearest cent)

The lengths of adult males' hands are normally distributed with
mean 190 mm and standard deviation is 7 mm. Suppose that 48
individuals are randomly chosen. Round all answers to 4 where
possible.
For the group of 48, find the probability that the average hand
length is less than 192.
Find the third quartile for the average adult male hand length
for this sample size.
For part b), is the assumption that the distribution is normal
necessary?

The lengths of adult males' hands are normally distributed with
mean 195 mm and standard deviation is 7.1 mm. Suppose that 49
individuals are randomly chosen. Round all answers to 4 where
possible. What is the distribution of ¯ x ? ¯ x ~ N( , ) For the
group of 49, find the probability that the average hand length is
more than 196. Find the first quartile for the average adult male
hand length for this sample size. For...

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 113 and a standard deviation
of about 43. Assume forty individuals are randomly chosen. Answer
the following questions. Round all answers to 4 decimal places
where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 40, find the probability that the average
number of friends is more than 119.
Find the first quartile for the average number of...

Suppose that the average number of Facebook friends users have
is normally distributed with a mean of 133 and a standard deviation
of about 60. Assume forty individuals are randomly chosen. Answer
the following questions. Round all answers to 4 decimal places
where possible.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
For the group of 40, find the probability that the average
number of friends is more than 131.
Find the first quartile for the average number of...

The lengths of adult males' hands are normally distributed with
mean 186 mm and standard deviation is 7 mm. Suppose that 9
individuals are randomly chosen. Round all answers to 4 where
possible.
A. What is the distribution of ¯x? ¯x ~
N( , )
B. For the group of 9, find the probability that the average
hand length is more than 184.
C. Find the first quartile for the average adult male hand
length for this sample size.
D....

The average amount of money spent for lunch per person in the
college cafeteria is $7.42 and the standard deviation is $2.71.
Suppose that 16 randomly selected lunch patrons are observed.
Assume the distribution of money spent is normal, and round all
answers to 4 decimal places where possible.
What is the distribution of XX? XX ~ N( , )
What is the distribution of ¯xx¯? ¯xx¯ ~ N( , )
For a single randomly selected lunch patron, find the...

The average amount of money spent for lunch per person in the
college cafeteria is $6.31 and the standard deviation is $2.57.
Suppose that 13 randomly selected lunch patrons are observed.
Assume the distribution of money spent is normal, and round all
answers to 4 decimal places where possible.
What is the distribution of XX ? XX ~ N(,)
What is the distribution of ¯xx¯ ? ¯xx¯ ~ N(,)
For a single randomly selected lunch patron, find the
probability that...

The average score for games played in the NFL is 21 and the
standard deviation is 9.3 points. 10 games are randomly selected.
Round all answers to 4 decimal places where possible and assume a
normal distribution.
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
What is the distribution of ∑x∑x? ∑x∑x ~ N(,)
P(¯xx¯ < 20.9887) =
Find the 70th percentile for the mean score for this sample
size.
P(20.5887 < ¯xx¯ < 23.3705) =
Q1 for the...

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